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Business Combinations, Goodwill and Other Intangible Assets, Business Combinations Activity (Details)
$ in Millions
 12 Months Ended
Dec. 31, 2020
USD ($)
acquisition
Dec. 31, 2019
USD ($)
acquisition
Dec. 31, 2018
USD ($)
Business Acquisition [Line Items]      
Servicing Asset at Amortized Cost, Other than Temporary Impairments $ 23.7 $ 16.6  
Payments to Acquire Businesses, Gross   40.4  
Cash Acquired from Acquisition   3.8  
Business Combinations, Guaranteed Deferred Acquisition Obligation 0.0 17.0 $ 3.9
Goodwill, acquired during period   1,460.5  
Finite-lived intangible assets acquired   12.7  
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net   4.7  
Payment for Contingent Consideration Liability, Total 67.7 104.7  
Payments for Repurchase of Redeemable Noncontrolling Interest   8.4  
Goodwill Additions, net of adjustments   1,461.5  
Business Acquisition, Goodwill, Expected Tax Deductible Amount   25.4  
Business Acquisitions, Contingent Consideration $ 0.0 $ 846.1 11.6
Number of acquisitions subject to potential earn-out payments provisions | acquisition 35 44  
Maximum amount of the potential earn-out payments $ 199.2 $ 268.9  
Business Combination, Contingent Consideration, Liability, Current 91.7 74.4  
Business Combination, Contingent Consideration, Liability, Noncurrent 26.2 124.1  
Payments to Acquire Businesses, Net of Cash Acquired 0.0 801.3 101.3
Goodwill 4,224.7 4,168.2 2,697.8
Goodwill, Written off Related to Sale of Business Unit 0.7 4.4  
Impact of exchange rate movements 57.2 13.3  
LaSalle [Member]      
Business Acquisition [Line Items]      
Goodwill Additions, net of adjustments   35.5  
Goodwill 57.8 57.1 22.2
Goodwill, Written off Related to Sale of Business Unit 0.0 0.0  
Impact of exchange rate movements 0.7 (0.6)  
HFF Acquisition [Member]      
Business Acquisition [Line Items]      
Payments to Acquire Businesses, Gross   1,029.5  
Business Acquisitions, Contingent Consideration   1,870.7  
Business Acquisition, Equity Interest Issued or Issuable, Value Assigned   809.2  
Shares Issued to Replace Legacy Awards   32.0  
Goodwill   1,397.7  
Other Acquisitions [Member]      
Business Acquisition [Line Items]      
Goodwill, acquired during period   62.8  
Business Acquisitions, Contingent Consideration   5.0  
Fair Value, Inputs, Level 3 [Member] | Fair Value, Recurring [Member]      
Business Acquisition [Line Items]      
Business Combination, Contingent Consideration, Liability, Current 77.2 53.9  
Business Combination, Contingent Consideration, Liability 85.7 148.5 $ 192.0
Business Combination, Contingent Consideration, Liability, Noncurrent $ 8.5 $ 94.5